離散型Lotka-Volterra競爭系統之行波解的穩定性;Stability of traveling wavefronts for a discrete Lotka-Volterra competition system

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/79641

Title:	離散型Lotka-Volterra競爭系統之行波解的穩定性;Stability of traveling wavefronts for a discrete Lotka-Volterra competition system
Authors:	李閎嚴;Lee, Hung-Yen
Contributors:	數學系
Keywords:	穩定性;Lotka-Volterra;stability;Lotka-Volterra
Date:	2019-01-19
Issue Date:	2019-04-02 15:09:56 (UTC+8)
Publisher:	國立中央大學
Abstract:	本論文主要研究三物種競爭合作關係之離散型Lotka-Volterra 模型行波解的穩定性問題。透過能量加權方法以及比較原則，在較大的速度下，我們證明了行波解具有指數穩定的特性。;In this thesis, we study the stability of traveling wave solutions for the three species competition cooperation system, which is the discrete version of the Lotka-Volterra system. Applying the weighted energy method and the comparison principle, we can derive the result that the traveling wavefronts with large speed are exponentially stable.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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